Logarithmic corrections to $\mathbf{a^2}$ scaling in lattice Yang Mills theory

Autor: Husung, Nikolai, Marquard, Peter, Sommer, Rainer
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: PoS(LATTICE 2019)188 (2019). doi:10.3204/PUBDB-2020-00037
37th International Symposium on Lattice Field Theory, Wuhan, China, 2019-06-16-2019-06-22
DOI: 10.3204/PUBDB-2020-00037
Popis: We analyse the leading logarithmic corrections to the $a^2$ scaling of lattice artefacts in QCD, following the seminal work of Balog, Niedermayer and Weisz in the O(n) non-linear sigma model. Restricting our attention to contributions from the action, the leading logarithmic corrections can be determined by the anomalous dimensions of a minimal on-shell basis of mass-dimension 6 operators. We present results for the SU(N) pure gauge theory. In this theory the logarithmic corrections reduce the cutoff effects. These computations are the first step towards a study of full lattice QCD at O($a^2$), which is in progress.
7 pages. Contribution to the 37th International Symposium on Lattice Field Theory (LATTICE2019), 16-22 June 2019, Wuhan, China
Databáze: OpenAIRE